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Finding the Fourth Proportional to 409,416.96, 614,125.44 and 159,924

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Solution

The fourth proportional to 409,416.96, 614,125.44 and 159,924 is: 239,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,416.96 : 614,125.44 = 159,924 : x
  2. Step 2: Convert to fraction form
    409,416.96/614,125.44 = 159,924/x
  3. Step 3: Cross multiply
    409,416.96x = 614,125.44 × 159,924
  4. Step 4: Simplify right side
    409,416.96x = 98,213,396,866.56
  5. Step 5: Solve for x
    x = 98,213,396,866.56/409,416.96
  6. Step 6: Final answer
    x = 239,886.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.